Can you play games at 1080p and 2k on a 4k television?

@RattyUK - I've got a 1080p monitor that runs at 144hz and it was great when I could actually sit in front of it without any problem. Now my back starts to ache and I can't get a decent pair of glasses without the monitor hurting my eyes. Now decided on an armchair and Tv for gaming, rather then hunched over my desk looking at a 27" monitor..